Title of article :
TWO COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS
Author/Authors :
RAZANI, A Department of Mathematics - Faculty of Science - I. Kh. International Univer- sity, Qazvin , YAZDI, M Department of Mathematics - Faculty of Science - I. Kh. International Univer- sity, Qazvin
Abstract :
Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory
for generalized φ-weak contractions, Appl. Math. Lett. 22(2009) 75-78] proved
a common fixed point theorem for two maps satisfying generalized φ-weak con-
tractions. In this paper, we prove a common xed point theorem for a family of
compatible maps. In fact, a new generalization of Zhang and Song's theorem is
given.
Keywords :
Compatible mappings , Weakly Compatible map- pings , Complete metric space
Journal title :
Astroparticle Physics